A line has slope –5/3. Through which two points could this line pass? (1 point) Responses (12, 13), (17, 10) (12, 13), (17, 10) (16, 15), (13, 10) (16, 15), (13, 10) (0, 7), (3, 10) (0, 7), (3, 10) (11, 13), (8, 18)
We can use the point-slope formula to determine the equation of the line with slope -5/3 passing through the given points.
Let's use the points (12, 13) and (17, 10) as an example.
The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the first point (12, 13), we have:
y - 13 = (-5/3)(x - 12)
Simplifying, we get:
y - 13 = (-5/3)x + 20
Let's check if the second point (17, 10) satisfies this equation:
10 - 13 = (-5/3)(17 - 12)
-3 = (-5/3)(5)
-3 = -25/3
Since the equation holds true for the second point as well, the line with slope -5/3 passes through the points (12, 13) and (17, 10).
Therefore, the correct answer is:
(12, 13), (17, 10)